Finding the Third Proportional to 152,864 and 328,288

Step by Step Solution

1. Step 1: Write the proportion equation
   152,864 : 328,288 = 328,288 : x
2. Step 2: Convert to fraction form
   152,864/328,288 = 328,288/x
3. Step 3: Cross multiply
   152,864x = 328,288 × 328,288
4. Step 4: Simplify right side
   152,864x = 107,773,010,944
5. Step 5: Solve for x
   x = 107,773,010,944/152,864
6. Step 6: Final answer
   x = 705,025.45